%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET653+3 : TPTP v9.2.1. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n004.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:48:22 AM UTC 2026 % Result : Theorem 0.87s 1.07s % Output : Proof 0.87s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET653+3 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n004.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 16:05:52 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.87/1.07 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.87/1.07 % SZS status Theorem % 0.87/1.07 % SZS output start Proof % 0.87/1.07 ( % 0.87/1.07 (declare-sort $$unsorted 0) % 0.87/1.07 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.07 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.87/1.07 (declare-const tptp.subset_type (-> $$unsorted $$unsorted)) % 0.87/1.07 (declare-const tptp.relation_like (-> $$unsorted Bool)) % 0.87/1.07 (declare-const tptp.member_type (-> $$unsorted $$unsorted)) % 0.87/1.07 (declare-const tptp.ilf_type (-> $$unsorted $$unsorted Bool)) % 0.87/1.07 (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.07 (declare-const tptp.range_of (-> $$unsorted $$unsorted)) % 0.87/1.07 (declare-const tptp.set_type $$unsorted) % 0.87/1.07 (declare-const tptp.binary_relation_type $$unsorted) % 0.87/1.07 (declare-const tptp.domain_of (-> $$unsorted $$unsorted)) % 0.87/1.07 (declare-const tptp.relation_type (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.07 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.87/1.07 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.87/1.07 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.87/1.07 (define @t1 () (@var "D" $$unsorted)) % 0.87/1.07 (define @t2 () (@var "B" $$unsorted)) % 0.87/1.07 (define @t3 () (tptp.subset @t2 @t1)) % 0.87/1.07 (define @t4 () (@var "C" $$unsorted)) % 0.87/1.07 (define @t5 () (tptp.subset @t4 @t1)) % 0.87/1.07 (define @t6 () (tptp.subset @t2 @t4)) % 0.87/1.07 (define @t7 () (and @t6 @t5)) % 0.87/1.07 (define @t8 () (=> @t7 @t3)) % 0.87/1.07 (define @t9 () (tptp.ilf_type @t1 tptp.set_type)) % 0.87/1.07 (define @t10 () (@list @t1)) % 0.87/1.07 (define @t11 () (forall @t10 (=> @t9 @t8))) % 0.87/1.07 (define @t12 () (tptp.ilf_type @t4 tptp.set_type)) % 0.87/1.07 (define @t13 () (=> @t12 @t11)) % 0.87/1.07 (define @t14 () (@list @t4)) % 0.87/1.07 (define @t15 () (forall @t14 @t13)) % 0.87/1.07 (define @t16 () (tptp.ilf_type @t2 tptp.set_type)) % 0.87/1.07 (define @t17 () (=> @t16 @t15)) % 0.87/1.07 (define @t18 () (@list @t2)) % 0.87/1.07 (define @t19 () (forall @t18 @t17)) % 0.87/1.07 (define @t20 () (and (tptp.subset (tptp.domain_of @t1) @t2) (tptp.subset (tptp.range_of @t1) @t4))) % 0.87/1.07 (define @t21 () (tptp.relation_type @t2 @t4)) % 0.87/1.07 (define @t22 () (tptp.ilf_type @t1 @t21)) % 0.87/1.07 (define @t23 () (forall @t10 (=> @t22 @t20))) % 0.87/1.07 (define @t24 () (=> @t12 @t23)) % 0.87/1.07 (define @t25 () (forall @t14 @t24)) % 0.87/1.07 (define @t26 () (=> @t16 @t25)) % 0.87/1.07 (define @t27 () (forall @t18 @t26)) % 0.87/1.07 (define @t28 () (tptp.relation_type @t4 @t1)) % 0.87/1.07 (define @t29 () (@var "E" $$unsorted)) % 0.87/1.07 (define @t30 () (tptp.ilf_type @t29 @t28)) % 0.87/1.07 (define @t31 () (tptp.subset (tptp.domain_of @t29) @t4)) % 0.87/1.07 (define @t32 () (=> @t31 @t30)) % 0.87/1.07 (define @t33 () (tptp.relation_type @t2 @t1)) % 0.87/1.07 (define @t34 () (tptp.ilf_type @t29 @t33)) % 0.87/1.07 (define @t35 () (@list @t29)) % 0.87/1.07 (define @t36 () (forall @t35 (=> @t34 @t32))) % 0.87/1.07 (define @t37 () (=> @t9 @t36)) % 0.87/1.07 (define @t38 () (forall @t10 @t37)) % 0.87/1.07 (define @t39 () (=> @t12 @t38)) % 0.87/1.07 (define @t40 () (forall @t14 @t39)) % 0.87/1.07 (define @t41 () (=> @t16 @t40)) % 0.87/1.07 (define @t42 () (forall @t18 @t41)) % 0.87/1.07 (define @t43 () (tptp.cross_product @t2 @t4)) % 0.87/1.07 (define @t44 () (tptp.subset_type @t43)) % 0.87/1.07 (define @t45 () (tptp.ilf_type @t1 @t44)) % 0.87/1.07 (define @t46 () (forall @t10 (=> @t9 (=> (tptp.member @t1 @t2) (tptp.member @t1 @t4))))) % 0.87/1.07 (define @t47 () (tptp.ilf_type @t2 tptp.binary_relation_type)) % 0.87/1.07 (define @t48 () (tptp.power_set @t2)) % 0.87/1.07 (define @t49 () (tptp.ilf_type @t4 (tptp.subset_type @t2))) % 0.87/1.07 (define @t50 () (tptp.empty @t2)) % 0.87/1.07 (define @t51 () (tptp.member @t4 @t2)) % 0.87/1.07 (define @t52 () (tptp.relation_like @t2)) % 0.87/1.07 (define @t53 () (=> @t6 @t30)) % 0.87/1.07 (define @t54 () (forall @t35 (=> @t34 @t53))) % 0.87/1.07 (define @t55 () (=> @t9 @t54)) % 0.87/1.07 (define @t56 () (forall @t10 @t55)) % 0.87/1.07 (define @t57 () (=> @t12 @t56)) % 0.87/1.07 (define @t58 () (forall @t14 @t57)) % 0.87/1.07 (define @t59 () (=> @t16 @t58)) % 0.87/1.07 (define @t60 () (forall @t18 @t59)) % 0.87/1.07 (define @t61 () (not @t60)) % 0.87/1.07 (define @t62 () (@var "BOUND_VARIABLE_7653" $$unsorted)) % 0.87/1.07 (define @t63 () (tptp.subset @t2 @t62)) % 0.87/1.07 (define @t64 () (@var "BOUND_VARIABLE_7651" $$unsorted)) % 0.87/1.07 (define @t65 () (not (tptp.subset @t64 @t62))) % 0.87/1.07 (define @t66 () (not (tptp.ilf_type @t62 tptp.set_type))) % 0.87/1.07 (define @t67 () (not (tptp.subset @t2 @t64))) % 0.87/1.07 (define @t68 () (not (tptp.ilf_type @t64 tptp.set_type))) % 0.87/1.07 (define @t69 () (not @t16)) % 0.87/1.07 (define @t70 () (or @t69 @t68 @t67 @t66 @t65 @t63)) % 0.87/1.07 (define @t71 () (or @t68 @t67 @t66 @t65 @t63)) % 0.87/1.07 (define @t72 () (or @t69 @t71)) % 0.87/1.07 (define @t73 () (@list @t2 @t64 @t62)) % 0.87/1.07 (define @t74 () (forall @t73 @t72)) % 0.87/1.07 (define @t75 () (@list @t64 @t62)) % 0.87/1.07 (define @t76 () (forall @t75 @t72)) % 0.87/1.07 (define @t77 () (forall @t75 @t71)) % 0.87/1.07 (define @t78 () (@var "BOUND_VARIABLE_7633" $$unsorted)) % 0.87/1.07 (define @t79 () (or @t69 @t77)) % 0.87/1.07 (define @t80 () (tptp.subset @t2 @t78)) % 0.87/1.07 (define @t81 () (not (tptp.subset @t4 @t78))) % 0.87/1.07 (define @t82 () (not (tptp.ilf_type @t78 tptp.set_type))) % 0.87/1.07 (define @t83 () (not @t6)) % 0.87/1.07 (define @t84 () (not @t12)) % 0.87/1.07 (define @t85 () (or @t84 @t83 @t82 @t81 @t80)) % 0.87/1.07 (define @t86 () (@list @t4 @t78)) % 0.87/1.07 (define @t87 () (forall @t86 @t85)) % 0.87/1.07 (define @t88 () (or @t82 @t81 @t80)) % 0.87/1.07 (define @t89 () (or @t84 @t83 @t88)) % 0.87/1.07 (define @t90 () (forall @t86 @t89)) % 0.87/1.07 (define @t91 () (@list @t78)) % 0.87/1.07 (define @t92 () (forall @t91 @t89)) % 0.87/1.07 (define @t93 () (forall @t91 @t88)) % 0.87/1.07 (define @t94 () (@list @t1)) % 0.87/1.07 (define @t95 () (or @t84 @t83 @t93)) % 0.87/1.07 (define @t96 () (not @t5)) % 0.87/1.07 (define @t97 () (not @t9)) % 0.87/1.07 (define @t98 () (or @t97 @t96 @t3)) % 0.87/1.07 (define @t99 () (forall @t10 @t98)) % 0.87/1.07 (define @t100 () (or @t84 @t83 @t99)) % 0.87/1.07 (define @t101 () (or @t83 @t99)) % 0.87/1.07 (define @t102 () (or @t83 @t98)) % 0.87/1.07 (define @t103 () (or @t97 @t83 @t96 @t3)) % 0.87/1.07 (define @t104 () (or @t83 @t96 @t3)) % 0.87/1.07 (define @t105 () (@var "BOUND_VARIABLE_8194" $$unsorted)) % 0.87/1.07 (define @t106 () (@var "BOUND_VARIABLE_8192" $$unsorted)) % 0.87/1.07 (define @t107 () (@var "BOUND_VARIABLE_8196" $$unsorted)) % 0.87/1.07 (define @t108 () (tptp.ilf_type @t107 (tptp.relation_type @t106 @t105))) % 0.87/1.07 (define @t109 () (not (tptp.ilf_type @t107 (tptp.relation_type @t2 @t105)))) % 0.87/1.07 (define @t110 () (not (tptp.ilf_type @t105 tptp.set_type))) % 0.87/1.07 (define @t111 () (not (tptp.subset @t2 @t106))) % 0.87/1.07 (define @t112 () (not (tptp.ilf_type @t106 tptp.set_type))) % 0.87/1.07 (define @t113 () (or @t69 @t112 @t111 @t110 @t109 @t108)) % 0.87/1.07 (define @t114 () (@list @t2 @t106 @t105 @t107)) % 0.87/1.07 (define @t115 () (forall @t114 @t113)) % 0.87/1.07 (define @t116 () (@quantifiers_skolemize @t115 3)) % 0.87/1.07 (define @t117 () (tptp.domain_of @t116)) % 0.87/1.07 (define @t118 () (@var "BOUND_VARIABLE_7697" $$unsorted)) % 0.87/1.07 (define @t119 () (@var "BOUND_VARIABLE_7699" $$unsorted)) % 0.87/1.07 (define @t120 () (and (tptp.subset (tptp.domain_of @t119) @t2) (tptp.subset (tptp.range_of @t119) @t118))) % 0.87/1.07 (define @t121 () (not (tptp.ilf_type @t119 (tptp.relation_type @t2 @t118)))) % 0.87/1.07 (define @t122 () (not (tptp.ilf_type @t118 tptp.set_type))) % 0.87/1.07 (define @t123 () (or @t122 @t121 @t120)) % 0.87/1.07 (define @t124 () (or @t69 @t123)) % 0.87/1.07 (define @t125 () (forall (@list @t2 @t118 @t119) @t124)) % 0.87/1.07 (define @t126 () (@list @t118 @t119)) % 0.87/1.07 (define @t127 () (forall @t126 @t124)) % 0.87/1.07 (define @t128 () (forall @t126 @t123)) % 0.87/1.07 (define @t129 () (@var "BOUND_VARIABLE_7678" $$unsorted)) % 0.87/1.07 (define @t130 () (or @t69 @t128)) % 0.87/1.07 (define @t131 () (and (tptp.subset (tptp.domain_of @t129) @t2) (tptp.subset (tptp.range_of @t129) @t4))) % 0.87/1.07 (define @t132 () (not (tptp.ilf_type @t129 @t21))) % 0.87/1.07 (define @t133 () (or @t84 @t132 @t131)) % 0.87/1.07 (define @t134 () (@list @t4 @t129)) % 0.87/1.07 (define @t135 () (forall @t134 @t133)) % 0.87/1.07 (define @t136 () (or @t132 @t131)) % 0.87/1.07 (define @t137 () (or @t84 @t136)) % 0.87/1.07 (define @t138 () (forall @t134 @t137)) % 0.87/1.07 (define @t139 () (@list @t129)) % 0.87/1.07 (define @t140 () (forall @t139 @t137)) % 0.87/1.07 (define @t141 () (forall @t139 @t136)) % 0.87/1.07 (define @t142 () (or @t84 @t141)) % 0.87/1.07 (define @t143 () (forall @t10 (or (not @t22) @t20))) % 0.87/1.07 (define @t144 () (@quantifiers_skolemize @t115 2)) % 0.87/1.07 (define @t145 () (@quantifiers_skolemize @t115 0)) % 0.87/1.07 (define @t146 () (or @t112 @t111 @t110 @t109 @t108)) % 0.87/1.07 (define @t147 () (or @t69 @t146)) % 0.87/1.07 (define @t148 () (forall @t114 @t147)) % 0.87/1.07 (define @t149 () (@list @t106 @t105 @t107)) % 0.87/1.07 (define @t150 () (forall @t149 @t147)) % 0.87/1.07 (define @t151 () (forall @t149 @t146)) % 0.87/1.07 (define @t152 () (@var "BOUND_VARIABLE_8173" $$unsorted)) % 0.87/1.07 (define @t153 () (@var "BOUND_VARIABLE_8171" $$unsorted)) % 0.87/1.07 (define @t154 () (or @t69 @t151)) % 0.87/1.07 (define @t155 () (tptp.ilf_type @t152 (tptp.relation_type @t4 @t153))) % 0.87/1.07 (define @t156 () (not (tptp.ilf_type @t152 (tptp.relation_type @t2 @t153)))) % 0.87/1.07 (define @t157 () (not (tptp.ilf_type @t153 tptp.set_type))) % 0.87/1.07 (define @t158 () (or @t84 @t83 @t157 @t156 @t155)) % 0.87/1.07 (define @t159 () (@list @t4 @t153 @t152)) % 0.87/1.07 (define @t160 () (forall @t159 @t158)) % 0.87/1.07 (define @t161 () (or @t157 @t156 @t155)) % 0.87/1.07 (define @t162 () (or @t84 @t83 @t161)) % 0.87/1.07 (define @t163 () (forall @t159 @t162)) % 0.87/1.07 (define @t164 () (@list @t153 @t152)) % 0.87/1.07 (define @t165 () (forall @t164 @t162)) % 0.87/1.07 (define @t166 () (forall @t164 @t161)) % 0.87/1.07 (define @t167 () (@var "BOUND_VARIABLE_8155" $$unsorted)) % 0.87/1.07 (define @t168 () (or @t84 @t83 @t166)) % 0.87/1.07 (define @t169 () (tptp.ilf_type @t167 @t28)) % 0.87/1.07 (define @t170 () (not (tptp.ilf_type @t167 @t33))) % 0.87/1.07 (define @t171 () (or @t97 @t170 @t169)) % 0.87/1.07 (define @t172 () (@list @t1 @t167)) % 0.87/1.07 (define @t173 () (forall @t172 @t171)) % 0.87/1.07 (define @t174 () (or @t84 @t83 @t173)) % 0.87/1.07 (define @t175 () (or @t83 @t173)) % 0.87/1.07 (define @t176 () (or @t170 @t169)) % 0.87/1.07 (define @t177 () (or @t97 @t176)) % 0.87/1.07 (define @t178 () (forall @t172 @t177)) % 0.87/1.07 (define @t179 () (@list @t167)) % 0.87/1.07 (define @t180 () (forall @t179 @t177)) % 0.87/1.07 (define @t181 () (forall @t179 @t176)) % 0.87/1.07 (define @t182 () (@list @t29)) % 0.87/1.07 (define @t183 () (or @t97 @t181)) % 0.87/1.07 (define @t184 () (not @t34)) % 0.87/1.07 (define @t185 () (or @t184 @t30)) % 0.87/1.07 (define @t186 () (forall @t35 @t185)) % 0.87/1.07 (define @t187 () (or @t97 @t186)) % 0.87/1.07 (define @t188 () (forall @t10 @t187)) % 0.87/1.07 (define @t189 () (or @t83 @t188)) % 0.87/1.07 (define @t190 () (or @t83 @t187)) % 0.87/1.07 (define @t191 () (or @t97 @t83 @t186)) % 0.87/1.07 (define @t192 () (or @t83 @t186)) % 0.87/1.07 (define @t193 () (or @t83 @t185)) % 0.87/1.07 (define @t194 () (or @t184 @t83 @t30)) % 0.87/1.07 (define @t195 () (tptp.ilf_type @t116 (tptp.relation_type @t145 @t144))) % 0.87/1.07 (define @t196 () (@quantifiers_skolemize @t115 1)) % 0.87/1.07 (define @t197 () (tptp.ilf_type @t116 (tptp.relation_type @t196 @t144))) % 0.87/1.07 (define @t198 () (not @t195)) % 0.87/1.07 (define @t199 () (tptp.ilf_type @t144 tptp.set_type)) % 0.87/1.07 (define @t200 () (not @t199)) % 0.87/1.07 (define @t201 () (tptp.subset @t145 @t196)) % 0.87/1.07 (define @t202 () (not @t201)) % 0.87/1.07 (define @t203 () (tptp.ilf_type @t196 tptp.set_type)) % 0.87/1.07 (define @t204 () (not @t203)) % 0.87/1.07 (define @t205 () (tptp.ilf_type @t145 tptp.set_type)) % 0.87/1.07 (define @t206 () (not @t205)) % 0.87/1.07 (define @t207 () (or @t206 @t204 @t202 @t200 @t198 @t197)) % 0.87/1.07 (define @t208 () (@list true)) % 0.87/1.07 (define @t209 () (@list @t207)) % 0.87/1.07 (define @t210 () (tptp.subset @t117 @t145)) % 0.87/1.07 (define @t211 () (and @t210 (tptp.subset (tptp.range_of @t116) @t144))) % 0.87/1.07 (define @t212 () (or @t206 @t200 @t198 @t211)) % 0.87/1.07 (define @t213 () (@var "BOUND_VARIABLE_7771" $$unsorted)) % 0.87/1.07 (define @t214 () (@var "BOUND_VARIABLE_7769" $$unsorted)) % 0.87/1.07 (define @t215 () (@var "BOUND_VARIABLE_7773" $$unsorted)) % 0.87/1.07 (define @t216 () (tptp.ilf_type @t215 (tptp.relation_type @t214 @t213))) % 0.87/1.07 (define @t217 () (not (tptp.subset (tptp.domain_of @t215) @t214))) % 0.87/1.07 (define @t218 () (not (tptp.ilf_type @t215 (tptp.relation_type @t2 @t213)))) % 0.87/1.07 (define @t219 () (not (tptp.ilf_type @t213 tptp.set_type))) % 0.87/1.07 (define @t220 () (not (tptp.ilf_type @t214 tptp.set_type))) % 0.87/1.07 (define @t221 () (or @t220 @t219 @t218 @t217 @t216)) % 0.87/1.07 (define @t222 () (or @t69 @t221)) % 0.87/1.07 (define @t223 () (forall (@list @t2 @t214 @t213 @t215) @t222)) % 0.87/1.07 (define @t224 () (@list @t214 @t213 @t215)) % 0.87/1.07 (define @t225 () (forall @t224 @t222)) % 0.87/1.07 (define @t226 () (forall @t224 @t221)) % 0.87/1.07 (define @t227 () (@var "BOUND_VARIABLE_7747" $$unsorted)) % 0.87/1.07 (define @t228 () (@var "BOUND_VARIABLE_7745" $$unsorted)) % 0.87/1.07 (define @t229 () (or @t69 @t226)) % 0.87/1.07 (define @t230 () (tptp.ilf_type @t227 (tptp.relation_type @t4 @t228))) % 0.87/1.07 (define @t231 () (not (tptp.subset (tptp.domain_of @t227) @t4))) % 0.87/1.07 (define @t232 () (not (tptp.ilf_type @t227 (tptp.relation_type @t2 @t228)))) % 0.87/1.07 (define @t233 () (not (tptp.ilf_type @t228 tptp.set_type))) % 0.87/1.07 (define @t234 () (or @t84 @t233 @t232 @t231 @t230)) % 0.87/1.07 (define @t235 () (@list @t4 @t228 @t227)) % 0.87/1.07 (define @t236 () (forall @t235 @t234)) % 0.87/1.07 (define @t237 () (or @t233 @t232 @t231 @t230)) % 0.87/1.07 (define @t238 () (or @t84 @t237)) % 0.87/1.07 (define @t239 () (forall @t235 @t238)) % 0.87/1.07 (define @t240 () (@list @t228 @t227)) % 0.87/1.07 (define @t241 () (forall @t240 @t238)) % 0.87/1.07 (define @t242 () (forall @t240 @t237)) % 0.87/1.07 (define @t243 () (@var "BOUND_VARIABLE_7727" $$unsorted)) % 0.87/1.07 (define @t244 () (or @t84 @t242)) % 0.87/1.07 (define @t245 () (tptp.ilf_type @t243 @t28)) % 0.87/1.07 (define @t246 () (not (tptp.subset (tptp.domain_of @t243) @t4))) % 0.87/1.07 (define @t247 () (not (tptp.ilf_type @t243 @t33))) % 0.87/1.07 (define @t248 () (or @t97 @t247 @t246 @t245)) % 0.87/1.07 (define @t249 () (@list @t1 @t243)) % 0.87/1.07 (define @t250 () (forall @t249 @t248)) % 0.87/1.07 (define @t251 () (or @t247 @t246 @t245)) % 0.87/1.07 (define @t252 () (or @t97 @t251)) % 0.87/1.07 (define @t253 () (forall @t249 @t252)) % 0.87/1.07 (define @t254 () (@list @t243)) % 0.87/1.07 (define @t255 () (forall @t254 @t252)) % 0.87/1.07 (define @t256 () (forall @t254 @t251)) % 0.87/1.07 (define @t257 () (or @t97 @t256)) % 0.87/1.07 (define @t258 () (not @t31)) % 0.87/1.07 (define @t259 () (or @t184 @t258 @t30)) % 0.87/1.07 (define @t260 () (forall @t35 @t259)) % 0.87/1.07 (define @t261 () (tptp.subset @t117 @t196)) % 0.87/1.07 (define @t262 () (not @t261)) % 0.87/1.07 (define @t263 () (or @t206 @t204 @t200 @t198 @t262 @t197)) % 0.87/1.07 (define @t264 () (not @t210)) % 0.87/1.07 (define @t265 () (tptp.ilf_type @t117 tptp.set_type)) % 0.87/1.07 (define @t266 () (not @t265)) % 0.87/1.07 (define @t267 () (or @t266 @t206 @t264 @t204 @t202 @t261)) % 0.87/1.07 (define @t268 () (not @t267)) % 0.87/1.07 (define @t269 () (forall @t73 @t70)) % 0.87/1.07 (assume @p1 @t19) % 0.87/1.07 (assume @p2 @t27) % 0.87/1.07 (assume @p3 @t42) % 0.87/1.07 (assume @p4 (forall @t18 (=> @t16 (forall @t14 (=> @t12 (and (forall @t10 (=> @t45 @t22)) (forall @t35 (=> (tptp.ilf_type @t29 @t21) (tptp.ilf_type @t29 @t44))))))))) % 0.87/1.07 (assume @p5 (forall @t18 (=> @t16 (forall @t14 (=> @t12 (exists @t10 (tptp.ilf_type @t1 (tptp.relation_type @t4 @t2)))))))) % 0.87/1.07 (assume @p6 (forall @t18 (=> @t16 (forall @t14 (=> @t12 (= @t6 @t46)))))) % 0.87/1.07 (assume @p7 (forall @t18 (=> @t47 (tptp.ilf_type (tptp.domain_of @t2) tptp.set_type)))) % 0.87/1.07 (assume @p8 (forall @t18 (=> @t16 (forall @t14 (=> @t12 (tptp.ilf_type @t43 tptp.set_type)))))) % 0.87/1.07 (assume @p9 (forall @t18 (=> @t47 (tptp.ilf_type (tptp.range_of @t2) tptp.set_type)))) % 0.87/1.07 (assume @p10 (forall @t18 (=> @t16 (forall @t14 (=> @t12 (= @t49 (tptp.ilf_type @t4 (tptp.member_type @t48)))))))) % 0.87/1.07 (assume @p11 (forall @t18 (=> @t16 (exists @t14 @t49)))) % 0.87/1.07 (assume @p12 (forall @t18 (=> @t16 (tptp.subset @t2 @t2)))) % 0.87/1.07 (assume @p13 (forall @t18 (=> @t16 (forall @t14 (=> @t12 (= (tptp.member @t2 (tptp.power_set @t4)) @t46)))))) % 0.87/1.07 (assume @p14 (forall @t18 (=> @t16 (and (not (tptp.empty @t48)) (tptp.ilf_type @t48 tptp.set_type))))) % 0.87/1.07 (assume @p15 (forall @t18 (=> @t16 (forall @t14 (=> (and (not (tptp.empty @t4)) @t12) (= (tptp.ilf_type @t2 (tptp.member_type @t4)) (tptp.member @t2 @t4))))))) % 0.87/1.07 (assume @p16 (forall @t18 (=> (and (not @t50) @t16) (exists @t14 (tptp.ilf_type @t4 (tptp.member_type @t2)))))) % 0.87/1.07 (assume @p17 (forall @t18 (=> @t16 (= @t50 (forall @t14 (=> @t12 (not @t51))))))) % 0.87/1.07 (assume @p18 (forall @t18 (=> @t16 (= @t52 (forall @t14 (=> @t12 (=> @t51 (exists @t10 (and @t9 (exists @t35 (and (tptp.ilf_type @t29 tptp.set_type) (= @t4 (tptp.ordered_pair @t1 @t29))))))))))))) % 0.87/1.07 (assume @p19 (forall @t18 (=> (and @t50 @t16) @t52))) % 0.87/1.07 (assume @p20 (forall @t18 (=> @t16 (forall @t14 (=> @t12 (forall @t10 (=> @t45 (tptp.relation_like @t1)))))))) % 0.87/1.07 (assume @p21 (forall @t18 (=> @t16 (forall @t14 (=> @t12 (tptp.ilf_type (tptp.ordered_pair @t2 @t4) tptp.set_type)))))) % 0.87/1.07 (assume @p22 (forall @t18 @t16)) % 0.87/1.07 (assume @p23 @t61) % 0.87/1.07 (assume @p24 true) % 0.87/1.07 (step @p25 :rule aci_norm :args ((= @t72 @t70))) % 0.87/1.07 (step @p26 :rule cong :premises (@p25) :args (@t74)) % 0.87/1.07 (step @p27 :rule quant-merge-prenex :args ((= (forall @t18 @t76) @t74))) % 0.87/1.07 (step @p28 :rule alpha_equiv :args (@t77 (@list @t64 @t62) (@list @t4 @t78))) % 0.87/1.07 (step @p29 :rule refl :args (@t69)) % 0.87/1.07 (step @p30 :rule nary_cong :premises (@p29 @p28) :args (@t79)) % 0.87/1.07 (step @p31 :rule quant-miniscope-or :args ((= @t76 @t79))) % 0.87/1.07 (step @p32 :rule trans :premises (@p31 @p30)) % 0.87/1.07 (step @p33 :rule symm :premises (@p32)) % 0.87/1.07 (step @p34 :rule cong :premises (@p33) :args ((forall @t18 (or @t69 @t87)))) % 0.87/1.07 (step @p35 :rule trans :premises (@p34 @p27)) % 0.87/1.07 (step @p36 :rule trans :premises (@p35 @p26)) % 0.87/1.07 (step @p37 :rule bool-impl-elim :args (@t16 @t87)) % 0.87/1.07 (step @p38 :rule cong :premises (@p37) :args ((forall @t18 (=> @t16 @t87)))) % 0.87/1.07 (step @p39 :rule trans :premises (@p38 @p36)) % 0.87/1.07 (step @p40 :rule aci_norm :args ((= @t89 @t85))) % 0.87/1.07 (step @p41 :rule cong :premises (@p40) :args (@t90)) % 0.87/1.07 (step @p42 :rule quant-merge-prenex :args ((= (forall @t14 @t92) @t90))) % 0.87/1.07 (step @p43 :rule alpha_equiv :args (@t93 (@list @t78) @t94)) % 0.87/1.07 (step @p44 :rule refl :args (@t83)) % 0.87/1.07 (step @p45 :rule refl :args (@t84)) % 0.87/1.07 (step @p46 :rule nary_cong :premises (@p45 @p44 @p43) :args (@t95)) % 0.87/1.07 (step @p47 :rule quant-miniscope-or :args ((= @t92 @t95))) % 0.87/1.07 (step @p48 :rule trans :premises (@p47 @p46)) % 0.87/1.07 (step @p49 :rule symm :premises (@p48)) % 0.87/1.07 (step @p50 :rule cong :premises (@p49) :args ((forall @t14 @t100))) % 0.87/1.07 (step @p51 :rule trans :premises (@p50 @p42)) % 0.87/1.07 (step @p52 :rule trans :premises (@p51 @p41)) % 0.87/1.07 (step @p53 :rule aci_norm :args ((= (or @t84 @t101) @t100))) % 0.87/1.07 (step @p54 :rule bool-impl-elim :args (@t12 @t101)) % 0.87/1.07 (step @p55 :rule trans :premises (@p54 @p53)) % 0.87/1.07 (step @p56 :rule cong :premises (@p55) :args ((forall @t14 (=> @t12 @t101)))) % 0.87/1.07 (step @p57 :rule trans :premises (@p56 @p52)) % 0.87/1.07 (step @p58 :rule quant-miniscope-or :args ((= (forall @t10 @t102) @t101))) % 0.87/1.07 (step @p59 :rule aci_norm :args ((= @t103 @t102))) % 0.87/1.07 (step @p60 :rule cong :premises (@p59) :args ((forall @t10 @t103))) % 0.87/1.07 (step @p61 :rule trans :premises (@p60 @p58)) % 0.87/1.07 (step @p62 :rule aci_norm :args ((= (or @t97 @t104) @t103))) % 0.87/1.07 (step @p63 :rule aci_norm :args ((= (or (or @t83 @t96) @t3) @t104))) % 0.87/1.07 (step @p64 :rule refl :args (@t3)) % 0.87/1.07 (step @p65 :rule bool-and-de-morgan :args (@t6 @t5 true)) % 0.87/1.07 (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((or (not @t7) @t3))) % 0.87/1.07 (step @p67 :rule trans :premises (@p66 @p63)) % 0.87/1.07 (step @p68 :rule bool-impl-elim :args (@t7 @t3)) % 0.87/1.07 (step @p69 :rule trans :premises (@p68 @p67)) % 0.87/1.07 (step @p70 :rule refl :args (@t97)) % 0.87/1.07 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or @t97 @t8))) % 0.87/1.07 (step @p72 :rule trans :premises (@p71 @p62)) % 0.87/1.07 (step @p73 :rule bool-impl-elim :args (@t9 @t8)) % 0.87/1.07 (step @p74 :rule trans :premises (@p73 @p72)) % 0.87/1.07 (step @p75 :rule cong :premises (@p74) :args (@t11)) % 0.87/1.07 (step @p76 :rule trans :premises (@p75 @p61)) % 0.87/1.07 (step @p77 :rule refl :args (@t12)) % 0.87/1.07 (step @p78 :rule cong :premises (@p77 @p76) :args (@t13)) % 0.87/1.07 (step @p79 :rule cong :premises (@p78) :args (@t15)) % 0.87/1.07 (step @p80 :rule trans :premises (@p79 @p57)) % 0.87/1.07 (step @p81 :rule refl :args (@t16)) % 0.87/1.07 (step @p82 :rule cong :premises (@p81 @p80) :args (@t17)) % 0.87/1.07 (step @p83 :rule cong :premises (@p82) :args (@t19)) % 0.87/1.07 (step @p84 :rule trans :premises (@p83 @p39)) % 0.87/1.07 (step @p85 :rule eq_resolve :premises (@p1 @p84)) % 0.87/1.07 (step @p86 :rule instantiate :premises (@p22) :args ((@list @t117))) % 0.87/1.07 (step @p87 :rule aci_norm :args ((= @t124 (or @t69 @t122 @t121 @t120)))) % 0.87/1.07 (step @p88 :rule cong :premises (@p87) :args (@t125)) % 0.87/1.07 (step @p89 :rule quant-merge-prenex :args ((= (forall @t18 @t127) @t125))) % 0.87/1.07 (step @p90 :rule alpha_equiv :args (@t128 (@list @t118 @t119) (@list @t4 @t129))) % 0.87/1.07 (step @p91 :rule nary_cong :premises (@p29 @p90) :args (@t130)) % 0.87/1.07 (step @p92 :rule quant-miniscope-or :args ((= @t127 @t130))) % 0.87/1.07 (step @p93 :rule trans :premises (@p92 @p91)) % 0.87/1.07 (step @p94 :rule symm :premises (@p93)) % 0.87/1.07 (step @p95 :rule cong :premises (@p94) :args ((forall @t18 (or @t69 @t135)))) % 0.87/1.07 (step @p96 :rule trans :premises (@p95 @p89)) % 0.87/1.07 (step @p97 :rule trans :premises (@p96 @p88)) % 0.87/1.07 (step @p98 :rule bool-impl-elim :args (@t16 @t135)) % 0.87/1.07 (step @p99 :rule cong :premises (@p98) :args ((forall @t18 (=> @t16 @t135)))) % 0.87/1.07 (step @p100 :rule trans :premises (@p99 @p97)) % 0.87/1.07 (step @p101 :rule aci_norm :args ((= @t137 @t133))) % 0.87/1.07 (step @p102 :rule cong :premises (@p101) :args (@t138)) % 0.87/1.07 (step @p103 :rule quant-merge-prenex :args ((= (forall @t14 @t140) @t138))) % 0.87/1.07 (step @p104 :rule alpha_equiv :args (@t141 (@list @t129) @t94)) % 0.87/1.07 (step @p105 :rule nary_cong :premises (@p45 @p104) :args (@t142)) % 0.87/1.07 (step @p106 :rule quant-miniscope-or :args ((= @t140 @t142))) % 0.87/1.07 (step @p107 :rule trans :premises (@p106 @p105)) % 0.87/1.07 (step @p108 :rule symm :premises (@p107)) % 0.87/1.07 (step @p109 :rule cong :premises (@p108) :args ((forall @t14 (or @t84 @t143)))) % 0.87/1.07 (step @p110 :rule trans :premises (@p109 @p103)) % 0.87/1.07 (step @p111 :rule trans :premises (@p110 @p102)) % 0.87/1.07 (step @p112 :rule bool-impl-elim :args (@t12 @t143)) % 0.87/1.07 (step @p113 :rule cong :premises (@p112) :args ((forall @t14 (=> @t12 @t143)))) % 0.87/1.07 (step @p114 :rule trans :premises (@p113 @p111)) % 0.87/1.07 (step @p115 :rule bool-impl-elim :args (@t22 @t20)) % 0.87/1.07 (step @p116 :rule cong :premises (@p115) :args (@t23)) % 0.87/1.07 (step @p117 :rule cong :premises (@p77 @p116) :args (@t24)) % 0.87/1.07 (step @p118 :rule cong :premises (@p117) :args (@t25)) % 0.87/1.07 (step @p119 :rule trans :premises (@p118 @p114)) % 0.87/1.07 (step @p120 :rule cong :premises (@p81 @p119) :args (@t26)) % 0.87/1.07 (step @p121 :rule cong :premises (@p120) :args (@t27)) % 0.87/1.07 (step @p122 :rule trans :premises (@p121 @p100)) % 0.87/1.07 (step @p123 :rule eq_resolve :premises (@p2 @p122)) % 0.87/1.07 (step @p124 :rule instantiate :premises (@p123) :args ((@list @t145 @t144 @t116))) % 0.87/1.07 (step @p125 :rule aci_norm :args ((= @t147 @t113))) % 0.87/1.07 (step @p126 :rule cong :premises (@p125) :args (@t148)) % 0.87/1.07 (step @p127 :rule quant-merge-prenex :args ((= (forall @t18 @t150) @t148))) % 0.87/1.07 (step @p128 :rule alpha_equiv :args (@t151 (@list @t106 @t105 @t107) (@list @t4 @t153 @t152))) % 0.87/1.07 (step @p129 :rule nary_cong :premises (@p29 @p128) :args (@t154)) % 0.87/1.07 (step @p130 :rule quant-miniscope-or :args ((= @t150 @t154))) % 0.87/1.07 (step @p131 :rule trans :premises (@p130 @p129)) % 0.87/1.07 (step @p132 :rule symm :premises (@p131)) % 0.87/1.07 (step @p133 :rule cong :premises (@p132) :args ((forall @t18 (or @t69 @t160)))) % 0.87/1.07 (step @p134 :rule trans :premises (@p133 @p127)) % 0.87/1.07 (step @p135 :rule trans :premises (@p134 @p126)) % 0.87/1.07 (step @p136 :rule bool-impl-elim :args (@t16 @t160)) % 0.87/1.07 (step @p137 :rule cong :premises (@p136) :args ((forall @t18 (=> @t16 @t160)))) % 0.87/1.07 (step @p138 :rule trans :premises (@p137 @p135)) % 0.87/1.07 (step @p139 :rule aci_norm :args ((= @t162 @t158))) % 0.87/1.07 (step @p140 :rule cong :premises (@p139) :args (@t163)) % 0.87/1.07 (step @p141 :rule quant-merge-prenex :args ((= (forall @t14 @t165) @t163))) % 0.87/1.07 (step @p142 :rule alpha_equiv :args (@t166 (@list @t153 @t152) (@list @t1 @t167))) % 0.87/1.07 (step @p143 :rule nary_cong :premises (@p45 @p44 @p142) :args (@t168)) % 0.87/1.07 (step @p144 :rule quant-miniscope-or :args ((= @t165 @t168))) % 0.87/1.07 (step @p145 :rule trans :premises (@p144 @p143)) % 0.87/1.07 (step @p146 :rule symm :premises (@p145)) % 0.87/1.07 (step @p147 :rule cong :premises (@p146) :args ((forall @t14 @t174))) % 0.87/1.07 (step @p148 :rule trans :premises (@p147 @p141)) % 0.87/1.07 (step @p149 :rule trans :premises (@p148 @p140)) % 0.87/1.07 (step @p150 :rule aci_norm :args ((= (or @t84 @t175) @t174))) % 0.87/1.07 (step @p151 :rule bool-impl-elim :args (@t12 @t175)) % 0.87/1.07 (step @p152 :rule trans :premises (@p151 @p150)) % 0.87/1.07 (step @p153 :rule cong :premises (@p152) :args ((forall @t14 (=> @t12 @t175)))) % 0.87/1.07 (step @p154 :rule trans :premises (@p153 @p149)) % 0.87/1.07 (step @p155 :rule aci_norm :args ((= @t177 @t171))) % 0.87/1.07 (step @p156 :rule cong :premises (@p155) :args (@t178)) % 0.87/1.07 (step @p157 :rule quant-merge-prenex :args ((= (forall @t10 @t180) @t178))) % 0.87/1.07 (step @p158 :rule alpha_equiv :args (@t181 (@list @t167) @t182)) % 0.87/1.07 (step @p159 :rule nary_cong :premises (@p70 @p158) :args (@t183)) % 0.87/1.07 (step @p160 :rule quant-miniscope-or :args ((= @t180 @t183))) % 0.87/1.07 (step @p161 :rule trans :premises (@p160 @p159)) % 0.87/1.07 (step @p162 :rule symm :premises (@p161)) % 0.87/1.07 (step @p163 :rule cong :premises (@p162) :args (@t188)) % 0.87/1.07 (step @p164 :rule trans :premises (@p163 @p157)) % 0.87/1.07 (step @p165 :rule trans :premises (@p164 @p156)) % 0.87/1.07 (step @p166 :rule refl :args (@t83)) % 0.87/1.07 (step @p167 :rule nary_cong :premises (@p166 @p165) :args (@t189)) % 0.87/1.07 (step @p168 :rule quant-miniscope-or :args ((= (forall @t10 @t190) @t189))) % 0.87/1.07 (step @p169 :rule aci_norm :args ((= @t191 @t190))) % 0.87/1.07 (step @p170 :rule cong :premises (@p169) :args ((forall @t10 @t191))) % 0.87/1.07 (step @p171 :rule trans :premises (@p170 @p168)) % 0.87/1.07 (step @p172 :rule trans :premises (@p171 @p167)) % 0.87/1.07 (step @p173 :rule aci_norm :args ((= (or @t97 @t192) @t191))) % 0.87/1.07 (step @p174 :rule bool-impl-elim :args (@t9 @t192)) % 0.87/1.07 (step @p175 :rule trans :premises (@p174 @p173)) % 0.87/1.07 (step @p176 :rule cong :premises (@p175) :args ((forall @t10 (=> @t9 @t192)))) % 0.87/1.07 (step @p177 :rule trans :premises (@p176 @p172)) % 0.87/1.07 (step @p178 :rule quant-miniscope-or :args ((= (forall @t35 @t193) @t192))) % 0.87/1.07 (step @p179 :rule aci_norm :args ((= @t194 @t193))) % 0.87/1.07 (step @p180 :rule cong :premises (@p179) :args ((forall @t35 @t194))) % 0.87/1.07 (step @p181 :rule trans :premises (@p180 @p178)) % 0.87/1.07 (step @p182 :rule aci_norm :args ((= (or @t184 (or @t83 @t30)) @t194))) % 0.87/1.07 (step @p183 :rule bool-impl-elim :args (@t6 @t30)) % 0.87/1.07 (step @p184 :rule refl :args (@t184)) % 0.87/1.07 (step @p185 :rule nary_cong :premises (@p184 @p183) :args ((or @t184 @t53))) % 0.87/1.07 (step @p186 :rule trans :premises (@p185 @p182)) % 0.87/1.07 (step @p187 :rule bool-impl-elim :args (@t34 @t53)) % 0.87/1.07 (step @p188 :rule trans :premises (@p187 @p186)) % 0.87/1.07 (step @p189 :rule cong :premises (@p188) :args (@t54)) % 0.87/1.07 (step @p190 :rule trans :premises (@p189 @p181)) % 0.87/1.07 (step @p191 :rule refl :args (@t9)) % 0.87/1.07 (step @p192 :rule cong :premises (@p191 @p190) :args (@t55)) % 0.87/1.07 (step @p193 :rule cong :premises (@p192) :args (@t56)) % 0.87/1.07 (step @p194 :rule trans :premises (@p193 @p177)) % 0.87/1.07 (step @p195 :rule cong :premises (@p77 @p194) :args (@t57)) % 0.87/1.07 (step @p196 :rule cong :premises (@p195) :args (@t58)) % 0.87/1.07 (step @p197 :rule trans :premises (@p196 @p154)) % 0.87/1.07 (step @p198 :rule cong :premises (@p81 @p197) :args (@t59)) % 0.87/1.07 (step @p199 :rule cong :premises (@p198) :args (@t60)) % 0.87/1.07 (step @p200 :rule trans :premises (@p199 @p138)) % 0.87/1.07 (step @p201 :rule cong :premises (@p200) :args (@t61)) % 0.87/1.07 (step @p202 :rule eq_resolve :premises (@p23 @p201)) % 0.87/1.07 (step @p203 :rule skolemize :premises (@p202)) % 0.87/1.07 (step @p204 :rule bool-double-not-elim :args (@t195)) % 0.87/1.07 (step @p205 :rule refl :args (@t207)) % 0.87/1.07 (step @p206 :rule nary_cong :premises (@p205 @p204) :args ((or @t207 (not @t198)))) % 0.87/1.07 (step @p207 :rule cnf_or_neg :args (@t207 4)) % 0.87/1.07 (step @p208 :rule eq_resolve :premises (@p207 @p206)) % 0.87/1.07 (step @p209 :rule reordering :premises (@p208) :args ((or @t195 @t207))) % 0.87/1.07 (step @p210 :rule chain_m_resolution :premises (@p209 @p203) :args (@t195 @t208 @t209)) % 0.87/1.07 (step @p211 :rule bool-double-not-elim :args (@t199)) % 0.87/1.07 (step @p212 :rule nary_cong :premises (@p205 @p211) :args ((or @t207 (not @t200)))) % 0.87/1.07 (step @p213 :rule cnf_or_neg :args (@t207 3)) % 0.87/1.07 (step @p214 :rule eq_resolve :premises (@p213 @p212)) % 0.87/1.07 (step @p215 :rule reordering :premises (@p214) :args ((or @t199 @t207))) % 0.87/1.07 (step @p216 :rule chain_m_resolution :premises (@p215 @p203) :args (@t199 @t208 @t209)) % 0.87/1.07 (step @p217 :rule bool-double-not-elim :args (@t205)) % 0.87/1.07 (step @p218 :rule nary_cong :premises (@p205 @p217) :args ((or @t207 (not @t206)))) % 0.87/1.07 (step @p219 :rule cnf_or_neg :args (@t207 0)) % 0.87/1.07 (step @p220 :rule eq_resolve :premises (@p219 @p218)) % 0.87/1.07 (step @p221 :rule reordering :premises (@p220) :args ((or @t205 @t207))) % 0.87/1.07 (step @p222 :rule chain_m_resolution :premises (@p221 @p203) :args (@t205 @t208 @t209)) % 0.87/1.07 (step @p223 :rule cnf_or_pos :args (@t212)) % 0.87/1.07 (step @p224 :rule reordering :premises (@p223) :args ((or @t206 @t200 @t198 @t211 (not @t212)))) % 0.87/1.07 (step @p225 :rule chain_m_resolution :premises (@p224 @p222 @p216 @p210 @p124) :args (@t211 (@list false false false false) (@list @t205 @t199 @t195 @t212))) % 0.87/1.07 (step @p226 :rule cnf_and_pos :args (@t211 0)) % 0.87/1.07 (step @p227 :rule reordering :premises (@p226) :args ((or @t210 (not @t211)))) % 0.87/1.07 (step @p228 :rule chain_m_resolution :premises (@p227 @p225) :args (@t210 (@list false) (@list @t211))) % 0.87/1.07 (step @p229 :rule aci_norm :args ((= @t222 (or @t69 @t220 @t219 @t218 @t217 @t216)))) % 0.87/1.07 (step @p230 :rule cong :premises (@p229) :args (@t223)) % 0.87/1.07 (step @p231 :rule quant-merge-prenex :args ((= (forall @t18 @t225) @t223))) % 0.87/1.07 (step @p232 :rule alpha_equiv :args (@t226 (@list @t214 @t213 @t215) (@list @t4 @t228 @t227))) % 0.87/1.07 (step @p233 :rule nary_cong :premises (@p29 @p232) :args (@t229)) % 0.87/1.07 (step @p234 :rule quant-miniscope-or :args ((= @t225 @t229))) % 0.87/1.07 (step @p235 :rule trans :premises (@p234 @p233)) % 0.87/1.07 (step @p236 :rule symm :premises (@p235)) % 0.87/1.07 (step @p237 :rule cong :premises (@p236) :args ((forall @t18 (or @t69 @t236)))) % 0.87/1.07 (step @p238 :rule trans :premises (@p237 @p231)) % 0.87/1.07 (step @p239 :rule trans :premises (@p238 @p230)) % 0.87/1.07 (step @p240 :rule bool-impl-elim :args (@t16 @t236)) % 0.87/1.07 (step @p241 :rule cong :premises (@p240) :args ((forall @t18 (=> @t16 @t236)))) % 0.87/1.07 (step @p242 :rule trans :premises (@p241 @p239)) % 0.87/1.07 (step @p243 :rule aci_norm :args ((= @t238 @t234))) % 0.87/1.07 (step @p244 :rule cong :premises (@p243) :args (@t239)) % 0.87/1.07 (step @p245 :rule quant-merge-prenex :args ((= (forall @t14 @t241) @t239))) % 0.87/1.07 (step @p246 :rule alpha_equiv :args (@t242 (@list @t228 @t227) (@list @t1 @t243))) % 0.87/1.07 (step @p247 :rule nary_cong :premises (@p45 @p246) :args (@t244)) % 0.87/1.07 (step @p248 :rule quant-miniscope-or :args ((= @t241 @t244))) % 0.87/1.07 (step @p249 :rule trans :premises (@p248 @p247)) % 0.87/1.07 (step @p250 :rule symm :premises (@p249)) % 0.87/1.07 (step @p251 :rule cong :premises (@p250) :args ((forall @t14 (or @t84 @t250)))) % 0.87/1.07 (step @p252 :rule trans :premises (@p251 @p245)) % 0.87/1.07 (step @p253 :rule trans :premises (@p252 @p244)) % 0.87/1.07 (step @p254 :rule bool-impl-elim :args (@t12 @t250)) % 0.87/1.07 (step @p255 :rule cong :premises (@p254) :args ((forall @t14 (=> @t12 @t250)))) % 0.87/1.07 (step @p256 :rule trans :premises (@p255 @p253)) % 0.87/1.07 (step @p257 :rule aci_norm :args ((= @t252 @t248))) % 0.87/1.07 (step @p258 :rule cong :premises (@p257) :args (@t253)) % 0.87/1.07 (step @p259 :rule quant-merge-prenex :args ((= (forall @t10 @t255) @t253))) % 0.87/1.07 (step @p260 :rule alpha_equiv :args (@t256 (@list @t243) @t182)) % 0.87/1.07 (step @p261 :rule nary_cong :premises (@p70 @p260) :args (@t257)) % 0.87/1.07 (step @p262 :rule quant-miniscope-or :args ((= @t255 @t257))) % 0.87/1.07 (step @p263 :rule trans :premises (@p262 @p261)) % 0.87/1.07 (step @p264 :rule symm :premises (@p263)) % 0.87/1.07 (step @p265 :rule cong :premises (@p264) :args ((forall @t10 (or @t97 @t260)))) % 0.87/1.07 (step @p266 :rule trans :premises (@p265 @p259)) % 0.87/1.07 (step @p267 :rule trans :premises (@p266 @p258)) % 0.87/1.07 (step @p268 :rule bool-impl-elim :args (@t9 @t260)) % 0.87/1.07 (step @p269 :rule cong :premises (@p268) :args ((forall @t10 (=> @t9 @t260)))) % 0.87/1.07 (step @p270 :rule trans :premises (@p269 @p267)) % 0.87/1.07 (step @p271 :rule aci_norm :args ((= (or @t184 (or @t258 @t30)) @t259))) % 0.87/1.07 (step @p272 :rule bool-impl-elim :args (@t31 @t30)) % 0.87/1.07 (step @p273 :rule nary_cong :premises (@p184 @p272) :args ((or @t184 @t32))) % 0.87/1.07 (step @p274 :rule trans :premises (@p273 @p271)) % 0.87/1.07 (step @p275 :rule bool-impl-elim :args (@t34 @t32)) % 0.87/1.07 (step @p276 :rule trans :premises (@p275 @p274)) % 0.87/1.07 (step @p277 :rule cong :premises (@p276) :args (@t36)) % 0.87/1.07 (step @p278 :rule cong :premises (@p191 @p277) :args (@t37)) % 0.87/1.07 (step @p279 :rule cong :premises (@p278) :args (@t38)) % 0.87/1.07 (step @p280 :rule trans :premises (@p279 @p270)) % 0.87/1.07 (step @p281 :rule cong :premises (@p77 @p280) :args (@t39)) % 0.87/1.07 (step @p282 :rule cong :premises (@p281) :args (@t40)) % 0.87/1.07 (step @p283 :rule trans :premises (@p282 @p256)) % 0.87/1.07 (step @p284 :rule cong :premises (@p81 @p283) :args (@t41)) % 0.87/1.07 (step @p285 :rule cong :premises (@p284) :args (@t42)) % 0.87/1.07 (step @p286 :rule trans :premises (@p285 @p242)) % 0.87/1.07 (step @p287 :rule eq_resolve :premises (@p3 @p286)) % 0.87/1.07 (step @p288 :rule instantiate :premises (@p287) :args ((@list @t145 @t196 @t144 @t116))) % 0.87/1.07 (step @p289 :rule cnf_or_neg :args (@t207 5)) % 0.87/1.07 (step @p290 :rule chain_m_resolution :premises (@p289 @p203) :args ((not @t197) @t208 @t209)) % 0.87/1.07 (step @p291 :rule bool-double-not-elim :args (@t203)) % 0.87/1.07 (step @p292 :rule nary_cong :premises (@p205 @p291) :args ((or @t207 (not @t204)))) % 0.87/1.07 (step @p293 :rule cnf_or_neg :args (@t207 1)) % 0.87/1.07 (step @p294 :rule eq_resolve :premises (@p293 @p292)) % 0.87/1.07 (step @p295 :rule reordering :premises (@p294) :args ((or @t203 @t207))) % 0.87/1.07 (step @p296 :rule chain_m_resolution :premises (@p295 @p203) :args (@t203 @t208 @t209)) % 0.87/1.07 (step @p297 :rule cnf_or_pos :args (@t263)) % 0.87/1.07 (step @p298 :rule reordering :premises (@p297) :args ((or @t206 @t204 @t200 @t198 @t197 @t262 (not @t263)))) % 0.87/1.07 (step @p299 :rule chain_m_resolution :premises (@p298 @p222 @p296 @p216 @p210 @p290 @p288) :args (@t262 (@list false false false false true false) (@list @t205 @t203 @t199 @t195 @t197 @t263))) % 0.87/1.07 (step @p300 :rule bool-double-not-elim :args (@t201)) % 0.87/1.07 (step @p301 :rule nary_cong :premises (@p205 @p300) :args ((or @t207 (not @t202)))) % 0.87/1.07 (step @p302 :rule cnf_or_neg :args (@t207 2)) % 0.87/1.07 (step @p303 :rule eq_resolve :premises (@p302 @p301)) % 0.87/1.07 (step @p304 :rule reordering :premises (@p303) :args ((or @t201 @t207))) % 0.87/1.07 (step @p305 :rule chain_m_resolution :premises (@p304 @p203) :args (@t201 @t208 @t209)) % 0.87/1.07 (step @p306 :rule cnf_or_pos :args (@t267)) % 0.87/1.07 (step @p307 :rule reordering :premises (@p306) :args ((or @t206 @t204 @t202 @t261 @t264 @t266 @t268))) % 0.87/1.07 (step @p308 :rule chain_m_resolution :premises (@p307 @p222 @p296 @p305 @p299 @p228 @p86) :args (@t268 (@list false false false true false false) (@list @t205 @t203 @t201 @t261 @t210 @t265))) % 0.87/1.07 (assume-push @p315 @t269) % 0.87/1.07 (step @p310 :rule instantiate :premises (@p85) :args ((@list @t117 @t145 @t196))) % 0.87/1.07 (step-pop @p316 :rule scope :premises (@p310)) % 0.87/1.07 (step @p311 :rule process_scope :premises (@p316) :args (@t267)) % 0.87/1.07 (step @p313 :rule implies_elim :premises (@p311)) % 0.87/1.07 (step @p314 false :rule chain_m_resolution :premises (@p313 @p308 @p85) :args (false (@list true false) (@list @t267 @t269))) % 0.87/1.07 ) % 0.87/1.07 % SZS output end Proof % 0.87/1.07 % cvc5 exiting %------------------------------------------------------------------------------